Time Domain Linear Sampling Method for Inverse Problems with Cracks

被引：1
|
作者：
Yue, Yang [1 ,2 ]
Ma, Fuming [1 ]
Chen, Bo [3 ]
机构：
[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
[2] Jilin Inst Chem Technol, Sch Sci, Jilin 132022, Jilin, Peoples R China
[3] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2022年 / 12卷 / 01期
关键词：
Time domain; inverse scattering problem; cracks; boundary integral equation; linear sampling method; SCATTERING; EQUATION;
D O I：
10.4208/eajam.120421.190721
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper analyses time-dependent scattering and inverse scattering problems with cracks. The well-posedness of the forward scattering problem is proved and a modified retarded potential boundary integral equation method is utilised to solve the forward problem. Besides, the inverse scattering problem of finding the cracks by using measured scattered data is considered. A time domain linear sampling method for inverse problems is developed and the blow-up property is proved. The computation scheme is relatively simple and easy to implement. Numerical examples demonstrate the effectiveness of the methods. AMS subject classifications: 35L20, 65M32 Key words: Time domain, inverse scattering problem, cracks, boundary integral equation, linear sampling method.
引用
收藏
页码：96 / 110
页数：15
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